Aubry-Mather theory and periodic solutio
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Weinan E
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Article
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1999
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John Wiley and Sons
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English
β 377 KB
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Consider a Hamiltonian system with Hamiltonian of the form H(x, t, p) where H is convex in p and periodic in x, and t and x β R 1 . It is well-known that its smooth invariant curves correspond to smooth Z 2 -periodic solutions of the PDE ut + H(x, t, u)x = 0 . In this paper, we establish a connecti